Questions in Grade College

Questions in Grade College

[Jawaban] $\sum_{n=1}^{\infty} \frac{1}{4 n^2-25}$

[Jawaban] Factor completely. [tex]$v^3-125$

[Jawaban] Find the LCM of [tex]$3 x^2 y^3$[/tex] and [tex]$10 x y^4$[/tex].

[Jawaban] By rounding to 1 significant figure, estimate the answers to these questions: a) $92 \times 98$ b) $49 \times 138$ c) $216 \times 876$

[Jawaban] What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the point $(-3,1)$? A. $y-1=-\frac{3}{2}(x+3)$ B. $y-1=-\frac{2}{3}(x+3)$ C. $y-1=\frac{2}{3}(x+3)$ D. $y-1=\frac{3}{2}(x+3)$

[Jawaban] Translate the following phrase into an algebraic expression. Please use the variable x. The difference between -3 and twice the number

[Jawaban] Find the inverse of each of the given functions. [tex]f(x)=4 x-12[/tex] [tex]h(x)=\frac{2 x-4}{3}[/tex] [tex]f^{-1}(x)=\square x+\square[/tex] [tex]h^{-1}(x)=\frac{3 x-12}{2}[/tex] [tex]h^{-1}(x)=\frac{3}{(2 x-4)}[/tex] [tex]h^{-1}(x)=\frac{3 x+4}{2}[/tex]

[Jawaban] Given [tex]log _3 2 \approx 0.631[/tex] and [tex]log _3 7 \approx 1.771[/tex], what is [tex]log _3 14[/tex]?

[Jawaban] Select the correct answer. Consider the following equation. $-\left(\frac{3}{2}\right)^x+12=2 x-3$ Approximate the solution to the equation above using three iterations of successive approximation. Use the graph below as a starting point. A. $x \approx \frac{33}{8}$ B. $x \approx \frac{71}{16}$ C. $x \approx \frac{69}{16}$ D. $x \approx \frac{35}{8}$

[Jawaban] Which composition of similarity transformations maps polygon [tex]ABCD[/tex] to polygon [tex]A^{\prime} B^{\prime} C^{\prime} D^{\prime}[/tex]? A. a dilation with a scale factor of [tex]\frac{1}{4}[/tex] and then a rotation B. a dilation with a scale factor of [tex]\frac{1}{4}[/tex] and then a translation C. a dilation with a scale factor of 4 and then a rotation D. a dilation with a scale factor of 4 and then a translation